Asked by Kaelyn

Solve the following equations
7f+f^2=60
6x^2-x-15=0
6(y-3)^2-(y-3)-15=0

Answers

Answered by Steve
always rearrange things into descending powers. Set equal to zero because after you factor it, you know that the product can be zero only if one of the factors is zero.

f^2+7f-60 = 0
(f+12)(f-5) = 0
f = -12 or 5

6x^2-x-15 = 0
(2x+3)(3x-5) = 0
x = -3/2 or 5/3

6(y-3)^2 - (y-3) - 15 = 0
(2(y-3)+3)(3(y-3)-5) = 0

one way: y-3 = -3/2 or 5/3
That means y = 3/2 or 14/3

other way:
(2y-6+3)(3y-9-14) = 0
(2y-3)(3y-14) = 0
y = 3/2 or 14/3
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